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21242212400 = 2452111747543
BaseRepresentation
bin10011110010001000…
…100111000000110000
32000211101222012022102
4103302020213000300
5322001001244100
613431502155532
71351254553253
oct236210470060
960741865272
1021242212400
119010747642
124149b82ba8
132006b5b966
14105728309a
15844d43cd5
hex4f2227030

21242212400 has 60 divisors (see below), whose sum is σ = 51081178512. Its totient is φ = 8489099520.

The previous prime is 21242212399. The next prime is 21242212417. The reversal of 21242212400 is 421224212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423029 + ... + 470571.

Almost surely, 221242212400 is an apocalyptic number.

21242212400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21242212400 is an abundant number, since it is smaller than the sum of its proper divisors (29838966112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21242212400 is a wasteful number, since it uses less digits than its factorization.

21242212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48678 (or 48667 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21242212400 its reverse (421224212), we get a palindrome (21663436612).

The spelling of 21242212400 in words is "twenty-one billion, two hundred forty-two million, two hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1117 2234 4468 5585 8936 11170 17872 22340 27925 44680 47543 55850 89360 95086 111700 190172 223400 237715 380344 446800 475430 760688 950860 1188575 1901720 2377150 3803440 4754300 9508600 19017200 53105531 106211062 212422124 265527655 424844248 531055310 849688496 1062110620 1327638275 2124221240 2655276550 4248442480 5310553100 10621106200 21242212400